New approximations to familiar functions

Polynomial Approximations to Bessel Functions

A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximation and the Taylor series truncated to the same order have similar accuracies.

Triangular approximations of fuzzy number with value and ambiguity functions

triangular approximations of fuzzy number with value and ambiguity functions

Analytic approximations to Kelvin functions with applications to electromagnetics

We present analytical approximations for the real Kelvin function berx and the imaginary Kelvin function beix, using the two–point quasifractional approximation procedure. We have applied these approximations to the calculation of the current distribution within a cylindrical conductor. Our approximations are simple and accurate. The infinite number of roots is also obtained with the approximat...

Learning recursive functions from approximations

This article investigates algorithmic learning, in the limit, of correct programs for recursive functions f from both input output examples of f and several interesting varieties of approximate additional (algorithmic) information about f. Specifically considered, as such approximate additional information about f, are Rose's frequency computations for f and several natural generalizations from...